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91002202002 = 23317311318749
BaseRepresentation
bin101010011000000100…
…1110110011110010010
322200220002200211211000
41110300021312132102
52442333030431002
6105450021002430
76401055645165
oct1246011663622
9280802624730
1091002202002
1135659409308
1215778553416
13877365080a
14459405dadc
15257934561c
hex1530276792

91002202002 has 64 divisors (see below), whose sum is σ = 214812000000. Its totient is φ = 28457821440.

The previous prime is 91002201959. The next prime is 91002202003. The reversal of 91002202002 is 20020220019.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (91002202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126124 + ... + 444872.

It is an arithmetic number, because the mean of its divisors is an integer number (3356437500).

Almost surely, 291002202002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91002202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107406000000).

91002202002 is an abundant number, since it is smaller than the sum of its proper divisors (123809797998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91002202002 is a wasteful number, since it uses less digits than its factorization.

91002202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319088 (or 319082 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 91002202002 in words is "ninety-one billion, two million, two hundred two thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 311 459 622 918 933 1866 2799 5287 5598 8397 10574 15861 16794 31722 47583 95166 142749 285498 318749 637498 956247 1912494 2868741 5418733 5737482 8606223 10837466 16256199 17212446 32512398 48768597 97537194 99130939 146305791 198261878 292611582 297392817 594785634 892178451 1685225963 1784356902 2676535353 3370451926 5055677889 5353070706 10111355778 15167033667 30334067334 45501101001 91002202002